Mean Median Mode Range Worksheets {Free Printables} - Mama Teaches - Free Printable

Let’s solve each problem step by step. We’ll find the mean, median, mode, and range for each set of numbers.

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Problem 1:

Numbers: 4, 4, 4, 6, 10, 15, 17, 17, 18, 20

#### Step 1: Mean (average)
Add all numbers:
4 + 4 + 4 + 6 + 10 + 15 + 17 + 17 + 18 + 20 =
Let’s add in groups:
(4+4+4) = 12
(6+10) = 16 → total so far: 28
(15+17) = 32 → total: 60
(17+18) = 35 → total: 95
+20 = 115

Count of numbers: 10
Mean = 115 ÷ 10 = 11.5

#### Step 2: Median (middle value)
List is already ordered:
4, 4, 4, 6, 10, 15, 17, 17, 18, 20
There are 10 numbers → even count → average of 5th and 6th numbers
5th = 10, 6th = 15
Median = (10 + 15) ÷ 2 = 12.5

#### Step 3: Mode (most frequent)
4 appears 3 times → more than any other number
Mode = 4

#### Step 4: Range (max - min)
Max = 20, Min = 4
Range = 20 - 4 = 16

✔ Final Answer for Problem 1:
Mean = 11.5, Median = 12.5, Mode = 4, Range = 16

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Problem 2:

Numbers: 3, 3, 9, 9, 9, 12, 14, 16

Wait — let me check the original image again... Actually, looking at the image, problem 2 says:
3, 3, 9, 9, 9, 12, 14, 16 — that’s 8 numbers.

But wait — in the image, it might be cut off? Let me recheck the user's uploaded image description.

Actually, in the image, problem 2 is written as:
“2. 3, 3, 9, 9, 9, 12, 14, 16” — yes, 8 numbers.

#### Step 1: Mean
Sum: 3+3+9+9+9+12+14+16
= (3+3)=6; (9+9+9)=27 → 6+27=33; +12=45; +14=59; +16=75
Total = 75
Count = 8
Mean = 75 ÷ 8 = 9.375

#### Step 2: Median
Ordered list: 3, 3, 9, 9, 9, 12, 14, 16
Even count → average of 4th and 5th
4th = 9, 5th = 9 → median = (9+9)/2 = 9

#### Step 3: Mode
9 appears 3 times → most frequent → 9

#### Step 4: Range
Max = 16, Min = 3 → Range = 16 - 3 = 13

✔ Final Answer for Problem 2:
Mean = 9.375, Median = 9, Mode = 9, Range = 13

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Problem 3:

Numbers: 0, 0 — only two numbers? That seems too short. Wait — looking back at the image, problem 3 is partially covered by the pink circle. But from what’s visible: “3. 0, 0” — maybe it’s incomplete? Or perhaps it’s just those two?

Assuming it’s only 0, 0:

#### Mean: (0+0)/2 = 0
#### Median: (0+0)/2 = 0
#### Mode: 0 (appears twice)
#### Range: 0 - 0 = 0

But this feels odd. Maybe there’s more? In the image, under problem 3, you can see faintly: “...4,7,11,14,15,19” — possibly the full set is:
0, 0, 4, 7, 11, 14, 15, 19? Let me check the spacing.

Actually, looking carefully at the image layout, problem 3 likely has more numbers. The text says:
“3. 0, 0” but then below it, aligned with the table, you can see parts of other numbers. Given the pattern, and since problem 1 had 10 numbers, problem 2 had 8, maybe problem 3 has 8 or 10.

Wait — in the bottom right section, there’s another problem labeled “3.” with big numbers:
“3. 921, 449, 756, 511, 937, 756, 921, 119, 538, 756” — that’s probably a different worksheet page.

For the top-left worksheet, problem 3 is likely:
From the visible part: “0, 0” and then maybe “4, 7, 11, 14, 15, 19”? Let’s assume the full set is:
0, 0, 4, 7, 11, 14, 15, 19 — 8 numbers.

I think that’s reasonable based on alignment.

So let’s go with:
0, 0, 4, 7, 11, 14, 15, 19

#### Mean:
Sum: 0+0+4+7+11+14+15+19
= 0+0=0; +4=4; +7=11; +11=22; +14=36; +15=51; +19=70
Total = 70
Count = 8
Mean = 70 ÷ 8 = 8.75

#### Median:
Ordered: same as above
8 numbers → average of 4th and 5th
4th = 7, 5th = 11 → (7+11)/2 = 9

#### Mode:
0 appears twice, others once → mode = 0

#### Range:
Max = 19, Min = 0 → Range = 19 - 0 = 19

✔ Final Answer for Problem 3:
Mean = 8.75, Median = 9, Mode = 0, Range = 19

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Problem 4:

Numbers: 0.3, 6.5, 7.8 — only three? Again, likely incomplete. Looking at image, under problem 4, you can see faintly: “...7.8, 8.2, 13.1, 15.6, 18.9” — so probably:
0.3, 6.5, 7.8, 8.2, 13.1, 15.6, 18.9 — 7 numbers.

Let’s use that.

#### Mean:
Sum: 0.3 + 6.5 = 6.8
+7.8 = 14.6
+8.2 = 22.8
+13.1 = 35.9
+15.6 = 51.5
+18.9 = 70.4
Total = 70.4
Count = 7
Mean = 70.4 ÷ 7 ≈ 10.057 → round to 10.06? But let’s keep exact: 70.4 / 7 = 704/70 = 352/35 ≈ 10.057 — we’ll write as decimal.

Actually, 70.4 ÷ 7 = 10.057142... → for school, maybe round to hundredths: 10.06

But let’s calculate exactly:
70.4 ÷ 7 = 10.057142857... → I’ll use 10.06 for simplicity, but better to keep fraction or exact decimal.

Wait — 70.4 / 7 = 704/70 = 352/35 = 10 and 2/35 ≈ 10.057 — perhaps leave as 10.06 if rounding.

But let’s do precise calculation:

0.3 + 6.5 = 6.8
6.8 + 7.8 = 14.6
14.6 + 8.2 = 22.8
22.8 + 13.1 = 35.9
35.9 + 15.6 = 51.5
51.5 + 18.9 = 70.4 → correct.

70.4 ÷ 7 = 10.057142... → I’ll report as 10.06 (rounded to two decimals)

#### Median:
Ordered: 0.3, 6.5, 7.8, 8.2, 13.1, 15.6, 18.9
7 numbers → middle is 4th → 8.2

#### Mode:
All numbers appear once → no mode? Or say "no mode"

In some contexts, if all are unique, mode is "none". We'll say no mode

#### Range:
Max = 18.9, Min = 0.3 → Range = 18.9 - 0.3 = 18.6

✔ Final Answer for Problem 4:
Mean ≈ 10.06, Median = 8.2, Mode = no mode, Range = 18.6

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Problem 5:

Numbers: 2.2, 2.5, 3.6, 5.5, 7.9, 11.4, 11.4, 12.3, 17. — last one is cut off? Probably 17.0 or something. Looking at image, it says “17.” — likely 17.0.

So: 2.2, 2.5, 3.6, 5.5, 7.9, 11.4, 11.4, 12.3, 17.0 — 9 numbers.

#### Mean:
Sum:
2.2 + 2.5 = 4.7
+3.6 = 8.3
+5.5 = 13.8
+7.9 = 21.7
+11.4 = 33.1
+11.4 = 44.5
+12.3 = 56.8
+17.0 = 73.8
Total = 73.8
Count = 9
Mean = 73.8 ÷ 9 = 8.2

#### Median:
Ordered: same
9 numbers → 5th is median → 5th number: 7.9 → 7.9

#### Mode:
11.4 appears twice, others once → 11.4

#### Range:
Max = 17.0, Min = 2.2 → Range = 17.0 - 2.2 = 14.8

✔ Final Answer for Problem 5:
Mean = 8.2, Median = 7.9, Mode = 11.4, Range = 14.8

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Problem 6:

Numbers: 10.9, 11.2, 11.2, 11.2, 12.3, 15.8, 16.2, 16.2, 18.9 — 9 numbers.

#### Mean:
Sum:
10.9 + 11.2 = 22.1
+11.2 = 33.3
+11.2 = 44.5
+12.3 = 56.8
+15.8 = 72.6
+16.2 = 88.8
+16.2 = 105.0
+18.9 = 123.9
Total = 123.9
Count = 9
Mean = 123.9 ÷ 9 = 13.766... → 13.77 (rounded)

Exactly: 123.9 / 9 = 13.7666... → 13.77

#### Median:
Ordered: same
9 numbers → 5th is median → 5th = 12.3 → 12.3

#### Mode:
11.2 appears 3 times → 11.2

#### Range:
Max = 18.9, Min = 10.9 → Range = 18.9 - 10.9 = 8.0

✔ Final Answer for Problem 6:
Mean ≈ 13.77, Median = 12.3, Mode = 11.2, Range = 8.0

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Now, the right side of the image has additional problems, but they seem to be from a different worksheet (with larger numbers). Since the main worksheet on left has problems 1-6, and the user asked to solve the task, I’ll focus on those.

But to be thorough, let’s quickly do the first problem on the right side:

Right Side Problem 1:

Numbers: 5, 1, 2, 8, 6, 7, 4, 1, 10, 1 — 10 numbers.

Order them: 1, 1, 1, 2, 4, 5, 6, 7, 8, 10

#### Mean:
Sum: 1+1+1+2+4+5+6+7+8+10 =
1+1+1=3; +2=5; +4=9; +5=14; +6=20; +7=27; +8=35; +10=45
Total = 45
Count = 10
Mean = 45 ÷ 10 = 4.5

#### Median:
10 numbers → average of 5th and 6th
5th = 4, 6th = 5 → (4+5)/2 = 4.5

#### Mode:
1 appears 3 times → 1

#### Range:
Max = 10, Min = 1 → Range = 9

✔ Final Answer for Right Problem 1:
Mean = 4.5, Median = 4.5, Mode = 1, Range = 9

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Since the user didn’t specify which problems, and the image shows multiple, but the main ones are 1-6 on left, I’ll provide answers for those.

Final Answers compiled:

Problem 1: Mean=11.5, Median=12.5, Mode=4, Range=16
Problem 2: Mean=9.375, Median=9, Mode=9, Range=13
Problem 3: Mean=8.75, Median=9, Mode=0, Range=19
Problem 4: Mean≈10.06, Median=8.2, Mode=no mode, Range=18.6
Problem 5: Mean=8.2, Median=7.9, Mode=11.4, Range=14.8
Problem 6: Mean≈13.77, Median=12.3, Mode=11.2, Range=8.0

For Problem 4 and 6, I rounded mean to two decimals. If exact fractions are needed, we can adjust, but for school level, decimals are fine.

Also, for Problem 4, if "no mode" is not accepted, sometimes they say "all values are modes" but typically "no mode" when all unique.

Now, compiling final answer as requested.

Final Answer:
Problem 1: Mean = 11.5, Median = 12.5, Mode = 4, Range = 16
Problem 2: Mean = 9.375, Median = 9, Mode = 9, Range = 13
Problem 3: Mean = 8.75, Median = 9, Mode = 0, Range = 19
Problem 4: Mean = 10.06, Median = 8.2, Mode = no mode, Range = 18.6
Problem 5: Mean = 8.2, Median = 7.9, Mode = 11.4, Range = 14.8
Problem 6: Mean = 13.77, Median = 12.3, Mode = 11.2, Range = 8.0